Lab Report on Circular Motion, Lab Reports of Time and Motion Studies

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Circular Motion

Carson Conrey Group Members Lucas Hoffman Aydan Amento February 14, 2024

Introduction

The overall goal of this lab is to look at Centripetal Force complete some calculations to some of the mathematical relations between centripetal force and other factors. Centripetal Force is the force acting on an object that causes the object to move in a uniform circular path. It can be described as Fc=acm or =(mv^2)/r. Which means that radius, mass, and velocity of the object and its path can affect the overall Centripetal Force.

Procedure

In this lab we will use a string that is tied to a hanging mass on the bottom end and then rubber stopper on the other end of the string, while it is inside of a tube. When you have assembled this, you can then spin the top rubber stopper in a circle for 30 sec and count the number of revolutions. Do this again 9 more times, and then again with 2 more different sized stoppers while keeping the radius the same throughout. We will then use this data to find the mass of each stopper.

Discussion

Our results from the 30 total trials ended up having some high discrepancies. Our number of revolutions went down with each rubber stopper and the mass went up with each one which is at least a good start. However, when we found the actual masses of each rubber stopper, we found that we were off with each one from between 8-26%. Our standard deviation for each of the masses was not that high so the experimental mass was precise just not accurate to the actual value recorded. Some of the reasons or sources of this error that we encountered could have been counting. It was relatively difficult to count the number of revolutions when the string was spinning fast. Another error could have been from the radius of the fishing line changing as we went through the experiment. The radius was supposed to stay the same throughout and if it changed then that would affect the calculations and final mass.

Conclusion

In Conclusion, our final experimental masses were precise however were not accurate with a discrepancy from 8-26%. It is considered to be accurate if we could get the discrepancy below 5%, but we did not get. There are multiple reasons that this outcome could have happened such as counting and change in radius during the experiment.